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Finding the Fourth Proportional to 5,645.75, 7,791.40 and 3,407.58

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Solution

The fourth proportional to 5,645.75, 7,791.40 and 3,407.58 is: 4,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.75 : 7,791.40 = 3,407.58 : x
  2. Step 2: Convert to fraction form
    5,645.75/7,791.40 = 3,407.58/x
  3. Step 3: Cross multiply
    5,645.75x = 7,791.40 × 3,407.58
  4. Step 4: Simplify right side
    5,645.75x = 26,549,796.45
  5. Step 5: Solve for x
    x = 26,549,796.45/5,645.75
  6. Step 6: Final answer
    x = 4,702.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.